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Airida [17]
3 years ago
9

PLEASE HELP ITS URGENT how can you use an equation to make a prediction from a pattern?

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
An equation can be used to predict values from a pattern by merely substituting any value to determine the equivalent value. An example is the geometric series which has a standard equation of an = a1 * r^(n-1) and is used to predict the nth term of the series
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2 years ago
Find the common ratio and an explicit form in each of the following geometric sequences.
Margaret [11]

Answer:

The explicit form is a_{n}=162(2/3)^{n-1}

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

a_{n}=ar^{n-1}

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

a_{n}=162(2/3)^{n-1}

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Two fuel tanks with the dimensions shown have the same volume. What is the value of ?
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Answer:

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Step-by-step explanation:

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Read 2 more answers
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